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svp [43]
3 years ago
7

Consider this right triangle with given measures what is the unknown length

Mathematics
2 answers:
Umnica [9.8K]3 years ago
6 0
12^2 + b^2 = 15^2
|
v
144 + b^2 = 225
-144 -144
—————————
b^2 = 81
b^2 = (square root 81 and the b)

ANS : b=9
DIA [1.3K]3 years ago
4 0

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = \sqrt{81} = 9

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What is the domain of the function y= square root x - 5 - 1
IrinaK [193]

Answer:

x\geq 5

Step-by-step explanation:

The function that we have to study in this problem is

y=\sqrt{x-5}-1

The domain of a function is defined as the set of all the possible values of x that the function can take.

For a square-root function, there are some limitations to the possible value of the argument in the root.

In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.

Therefore, in this case, we have to set the following condition for the domain:

x-5\geq 0

And by solving, we get

x\geq 5

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5 0
3 years ago
PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! 6 cm are cut from a 24 cm board. What is the percent decrease in length?
Firlakuza [10]

Answer:

75%

Step-by-step explanation:

24/6=4

1/4=6

4*6=24

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3 0
3 years ago
100 more than the difference between 88 and 66
asambeis [7]
Wouldn't the answer be 122
5 0
3 years ago
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5x - 10 + 65 = 90 what is the value of x?
ki77a [65]

Answer:

x =7

Step-by-step explanation:

Solve for x:

5 x - 10 + 65 = 90

Add like terms. 65 - 10 = 55:

5 x + 55 = 90

Subtract 55 from both sides:

5 x + (55 - 55) = 90 - 55

55 - 55 = 0:

5 x = 90 - 55

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5 x = 35

Divide both sides of 5 x = 35 by 5:

(5 x)/5 = 35/5

5/5 = 1:

x = 35/5

The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:

Answer:  x = 7

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3 years ago
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3 years ago
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